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5540220576 = 25321117102871
BaseRepresentation
bin1010010100011100…
…10000111010100000
3112022002220100212200
411022032100322200
542321244024301
62313430053200
7254202045402
oct51216207240
915262810780
105540220576
1123933457a0
1210a74aa200
136a3a56a37
143a7b26b72
152265b6c86
hex14a390ea0

5540220576 has 144 divisors (see below), whose sum is σ = 18198468288. Its totient is φ = 1580083200.

The previous prime is 5540220527. The next prime is 5540220617. The reversal of 5540220576 is 6750220455.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5540220576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421 + ... + 105291.

It is an arithmetic number, because the mean of its divisors is an integer number (126378252).

Almost surely, 25540220576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5540220576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099234144).

5540220576 is an abundant number, since it is smaller than the sum of its proper divisors (12658247712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5540220576 is a wasteful number, since it uses less digits than its factorization.

5540220576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102915 (or 102904 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5540220576 is about 74432.6579936522. The cubic root of 5540220576 is about 1769.4665288786.

The spelling of 5540220576 in words is "five billion, five hundred forty million, two hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 102871 205742 308613 411484 617226 822968 925839 1131581 1234452 1645936 1748807 1851678 2263162 2468904 3291872 3394743 3497614 3703356 4526324 4937808 5246421 6789486 6995228 7406712 9052648 9875616 10184229 10492842 13578972 13990456 14813424 15739263 18105296 19236877 20368458 20985684 27157944 27980912 29626848 31478526 36210592 38473754 40736916 41971368 54315888 55961824 57710631 62957052 76947508 81473832 83942736 108631776 115421262 125914104 153895016 162947664 167885472 173131893 230842524 251828208 307790032 325895328 346263786 461685048 503656416 615580064 692527572 923370096 1385055144 1846740192 2770110288 5540220576